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Zorluk: ZorIPv4 Addressing and Subnetting

A network architect is partitioning the IP address space within the block 10.88.24.0/2210.88.24.0/22 to provision a dedicated subnet for a server farm that requires a minimum of 110110 usable host IP addresses. To maximize IP space efficiency, the architect assigns the smallest standard CIDR prefix that satisfies this host requirement. Assuming the server farm is allocated the first available subnet block starting at 10.88.24.010.88.24.0, what is the broadcast address for this specific server subnet?

  1. 10.88.24.12710.88.24.127Cevap
  2. B
    10.88.24.12610.88.24.126
  3. C
    10.88.24.12810.88.24.128
  4. D
    10.88.24.25510.88.24.255

Cevap

The broadcast address for the allocated server subnet is 10.88.24.12710.88.24.127.
To accommodate 110 usable hosts, 7 host bits are required (272=1262^7 - 2 = 126 usable hosts). Subtracting 7 from 32 gives a /25/25 prefix (block size of 128 addresses). The first /25/25 subnet starting at 10.88.24.010.88.24.0 spans from 10.88.24.010.88.24.0 to 10.88.24.12710.88.24.127. Thus, the broadcast address is 10.88.24.12710.88.24.127.

Adım Adım Çözüm

1
Determine the number of host bits required for 110 usable hosts
7 host bits are needed because 272=1261102^7 - 2 = 126 \ge 110 usable addresses (262=622^6 - 2 = 62 is insufficient).
Calculating 2h22^h - 2 accounts for reserving the network ID and broadcast address.
2
Calculate the CIDR prefix length and block size
The prefix length is 327=/2532 - 7 = /25 (255.255.255.128255.255.255.128). The total block size is 27=1282^7 = 128 IP addresses.
Subtracting host bits from 32 total IPv4 address bits yields the subnet prefix length.
3
Determine the network range and broadcast address for the first subnet
The subnet range starts at network ID 10.88.24.010.88.24.0 and spans 128 addresses up to 10.88.24.12710.88.24.127. The last IP address in the block (10.88.24.12710.88.24.127) is the broadcast address.
The broadcast address is always the final address in a subnet block before the next network segment begins.

Anahtar Kavram

Calculating custom CIDR prefixes and broadcast boundaries based on host count requirements
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